%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 22:00:12 EDT 2023

% Result   : Theorem 4.78s 4.98s
% Output   : Proof 4.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV629_5 : TPTP v8.1.2. Released v6.0.0.
% 0.06/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 05:44:11 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 4.78/4.98  SZS status Theorem for theBenchmark.p
% 4.78/4.98  SZS output start Proof for theBenchmark.p
% 4.78/4.98  Clause #2 (by assumption #[]): Eq (∀ (N : nat), Eq (power_power complex (fFT_Mirabelle_root N) N) (one_one complex)) True
% 4.78/4.98  Clause #55 (by assumption #[]): Eq (∀ (A : Type), monoid_mult A → ∀ (A1 : A), Eq (power_power A A1 (one_one nat)) A1) True
% 4.78/4.98  Clause #134 (by assumption #[]): Eq (monoid_mult complex) True
% 4.78/4.98  Clause #150 (by assumption #[]): Eq (Not (Eq (fFT_Mirabelle_root (one_one nat)) (one_one complex))) True
% 4.78/4.98  Clause #159 (by clausification #[2]): ∀ (a : nat), Eq (Eq (power_power complex (fFT_Mirabelle_root a) a) (one_one complex)) True
% 4.78/4.98  Clause #160 (by clausification #[159]): ∀ (a : nat), Eq (power_power complex (fFT_Mirabelle_root a) a) (one_one complex)
% 4.78/4.98  Clause #243 (by clausification #[150]): Eq (Eq (fFT_Mirabelle_root (one_one nat)) (one_one complex)) False
% 4.78/4.98  Clause #244 (by clausification #[243]): Ne (fFT_Mirabelle_root (one_one nat)) (one_one complex)
% 4.78/4.98  Clause #875 (by clausification #[55]): ∀ (a : Type), Eq (monoid_mult a → ∀ (A1 : a), Eq (power_power a A1 (one_one nat)) A1) True
% 4.78/4.98  Clause #876 (by clausification #[875]): ∀ (a : Type), Or (Eq (monoid_mult a) False) (Eq (∀ (A1 : a), Eq (power_power a A1 (one_one nat)) A1) True)
% 4.78/4.98  Clause #877 (by clausification #[876]): ∀ (a : Type) (a_1 : a), Or (Eq (monoid_mult a) False) (Eq (Eq (power_power a a_1 (one_one nat)) a_1) True)
% 4.78/4.98  Clause #878 (by clausification #[877]): ∀ (a : Type) (a_1 : a), Or (Eq (monoid_mult a) False) (Eq (power_power a a_1 (one_one nat)) a_1)
% 4.78/4.98  Clause #879 (by superposition #[878, 134]): ∀ (a : complex), Or (Eq (power_power complex a (one_one nat)) a) (Eq False True)
% 4.78/4.98  Clause #885 (by clausification #[879]): ∀ (a : complex), Eq (power_power complex a (one_one nat)) a
% 4.78/4.98  Clause #886 (by superposition #[885, 160]): Eq (fFT_Mirabelle_root (one_one nat)) (one_one complex)
% 4.78/4.98  Clause #890 (by forward contextual literal cutting #[886, 244]): False
% 4.78/4.98  SZS output end Proof for theBenchmark.p
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